Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/53,68/61,149/933
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 88,68,149
Greatest Common Factor of Numerators i.e. GCF of 88,68,149 is 1 .
LCM of Denominators means LCM of 53,61,933 as per the given fractions.
LCM of 53,61,933 is 3016389 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,68,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 88,68,149 . The biggest common factor number is the GCF number.
So the greatest common factor 88,68,149 is 1.
Lets's calculate LCM of 53,61,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 3016389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3016389
Therefore, the GCF of Fractions 88/53,68/61,149/933 is 1/3016389
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 53,61,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,61,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,61,933) x common factors =1 x 1 = 1
LCM(53,61,933) = ( 53 × 61 × 933 ) / 1
LCM(53,61,933) = 3016389 / 1
LCM(53,61,933) = 3016389
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 88/53, 68/61, 149/933?
Answer: GCF of Numerators as per given numbers 88/53, 68/61, 149/933 is
GCF of Numerators i.e. for 88,68,149 is 1
LCM of denominators i.e. for 53,61,933 is 3016389.
Thus, GCF of Fractions is 1/3016389.Finally, GCF of Fractions for 88/53, 68/61, 149/933 is 1/3016389.